On Q-derived polynomials

Authors
Flynn, EV
Citation
Ev. Flynn, On Q-derived polynomials, P EDIN MATH, 44, 2001, pp. 103-110
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
44
Year of publication
2001
Part
1
Pages
103 - 110
Database
ISI
SICI code
0013-0915(200102)44:<103:OQP>2.0.ZU;2-7
Abstract
It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivatives have all their ro ots in Q) can be completely classified subject to tao conjectures: that no quartic with four distinct roots is Q-derived, and that no quintic with a t riple root and tao other distinct roots is Q-derived. We prove the second o f these conjectures.